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sum( r=0 )^ ( 10) ( 40 -r)C (5)=...

`sum_( r=0 )^ ( 10) ( 40 -r)C _(5)=`

A

`""^(41)C_(5)=""^(30)C_(5)`

B

`""^(41)C_(6)-""^(30)C_(6)`

C

`""^(41)C_(5)+""^(30)C_(5)`

D

`""^(41)C_(4)`

Text Solution

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The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-PERMUTATIONS & COMBINATIONS-EXERCISE 1B (COMBINATIONS )
  1. ""^(47 ) C(4 )+ underset( j =1) overset( 5 ) sum ""^((52- j)) C(3)...

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  2. the value of ""^50C(4) + underset( r=1) overset( 6 ) sum ""^(56...

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  3. sum( r=0 )^ ( 10) ( 40 -r)C (5)=

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  4. The least value of n so that ""^(n) C(5) + ""^(n ) C(6) gt (...

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  5. The least positive intergral value of n which satisfies the ...

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  6. IF ""^(n) C(3) : ""^((2n-1) ) C(2) = 8 : 15 then n=

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  7. IF ""^(n) C(3) : ""^((2n-1) ) C(2) = 8 : 15 then n=

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  8. IF C (2n, 3) : C (n,2) = 12 : 1, then n=

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  9. If ""^(2n ) C(3) : ""^(n) C(2) = 44 : 3 then n=

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  10. If ""^(n ) C (3) : ""^(n) C(2) = 10 : 3 , then n=

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  11. IF ""^(n) C(r-1) :""^(n)C(r)= 2 : 3 then ( n , r) =

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  12. IF ""^(n) C(r-1) : ""^(n )C(r) : = 2: 4 : then (n,r)=

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  13. IF ""^((n+1))C((r+1)): ""^(n)C(r) : ""^((n-1))C((r-1))=11:6:3 then (...

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  14. IF ""^(n) C((r-1))=36 ,""^(n)C(r)=84 , ""^(n)C(r+1)=126 , then r=

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  15. ""^(n) C(r-1) = 330 ,""^(n)C(r)=462 , ""^(n)C(r+1) = 462 implies r=

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  16. "Prove that "(""^(4n)C(2n))/(""^(2n)C(n))=(1.3,5......(4n-1))/({1.3.5....

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  17. (2^(n) [1.3.5. . .(2n-1) ])/(n!)=

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  18. If S(n) = underset (r=0) overset( n) sum (1) /(""^(n) C(r)) and T...

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  19. The ratio of ""^(24 ) C(r) to ""^(25 ) C(r) when each of them h...

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  20. The difference between the greatest values of ""^(15)C(r) and ""...

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